CN106888504B - Indoor position fingerprint positioning method based on FM and DTMB signals - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及一种基于FM与DTMB信号的利用位置指纹来确定室内环境空间位置的高精度定位方法。The invention relates to a high-precision positioning method for determining the indoor environment space position by using position fingerprints based on FM and DTMB signals.
背景技术Background technique
目前,随着无线通信技术的快速发展和智能移动终端的普及,基于位置的服务(LBS)也在不断发展。室外情况下,卫星定位系统(GNSS)以其高精度(一般的典型误差不超过10m),低成本等优势成为了主流的定位技术。而室内定位方面,由于建筑物遮挡,多径干扰,GNSS信号强度低等原因,基于到达时间或到达角度的卫星定位技术在室内定位中会产生很大的多径误差。室内环境下,空间中每个点都有一个唯一的信号强度与之对应。基于接受信号强度(RSSI)的位置指纹定位技术利用室内环境对信号衰落的特异性,通过将实测信号强度与数据库中的先验信号强度比较可以实现室内的精确定位。综合考虑信号覆盖的区域和部署成本等因素,Wi-Fi信号成为了位置指纹定位技术的首选信号。At present, with the rapid development of wireless communication technology and the popularization of smart mobile terminals, location-based services (LBS) are also developing continuously. In outdoor situations, the satellite positioning system (GNSS) has become the mainstream positioning technology due to its advantages of high precision (generally, the typical error does not exceed 10m) and low cost. In terms of indoor positioning, due to building occlusion, multipath interference, and low GNSS signal strength, satellite positioning technology based on time of arrival or angle of arrival will produce large multipath errors in indoor positioning. In an indoor environment, each point in the space has a unique signal strength corresponding to it. The position fingerprint positioning technology based on received signal strength (RSSI) utilizes the specificity of indoor environment to signal fading, and can achieve accurate indoor positioning by comparing the measured signal strength with the prior signal strength in the database. Considering factors such as signal coverage areas and deployment costs, Wi-Fi signals have become the preferred signal for location fingerprint positioning technology.
但研究中发现Wi-Fi信号在定位实践中也存在着很大不足。首先,单个Wi-Fi信号源的覆盖范围有限,而位置指纹定位技术需要一定数量的信号源(不少于三个)才能保证定位精度,这大大增加了设备部署的成本。其次,Wi-Fi信号的频率在2.4GHz左右,恰好与水的共振频率重合,而人体成分的70%是水,这使得接收到的Wi-Fi信号强度很容易受到人员走动,甚至天气的影响,进而干扰定位结果。所以目前国外很多研究者尝试使用调频广播(FM)代替Wi-Fi作为定位信号。FM信号强度稳定,覆盖范围非常广,其所在的频率范围也不易受到干扰,是一种非常理想的定位信号。However, the research found that Wi-Fi signals also have great deficiencies in positioning practice. First, the coverage of a single Wi-Fi signal source is limited, and location fingerprint positioning technology requires a certain number of signal sources (not less than three) to ensure positioning accuracy, which greatly increases the cost of device deployment. Secondly, the frequency of the Wi-Fi signal is around 2.4GHz, which coincides with the resonance frequency of water, and 70% of the human body is water, which makes the strength of the received Wi-Fi signal easily affected by the movement of people and even the weather , thereby interfering with the positioning results. Therefore, many foreign researchers are currently trying to use FM radio instead of Wi-Fi as a positioning signal. The FM signal strength is stable, the coverage is very wide, and its frequency range is not easily disturbed, so it is a very ideal positioning signal.
国外相关研究人员已经可以单独使用FM信号达到与使用Wi-Fi信号相同量级(<10m)的定位精度。目前,国内利用FM信号定位的研究少见报道,这主要是受到国内外不同的国情影响。国外同一区域内可接受的FM信号源个数多,分布广,这有助于提高FM室内定位的精度。而我国FM广播则统一由指定的发射站发射,同一区域内可接收的FM信号均为同一信号发射塔所发,使得在我国利用FM信号进行室内定位的精度较低。Relevant foreign researchers have been able to use FM signals alone to achieve positioning accuracy of the same magnitude (<10m) as Wi-Fi signals. At present, there are few domestic reports on the use of FM signal positioning, which is mainly affected by different national conditions at home and abroad. There are many and widely distributed FM signal sources in the same area abroad, which helps to improve the accuracy of FM indoor positioning. In my country, FM broadcasting is uniformly transmitted by designated transmitting stations, and the FM signals that can be received in the same area are all transmitted by the same signal transmitting tower, which makes the accuracy of indoor positioning using FM signals in my country low.
针对Wi-Fi室内定位的不足和我国在FM信号发射方面的国情,本发明提出同时使用数字电视地面广播(DTMB)信号与FM信号组成新的联合定位系统,提升室内定位的精度。DTMB信号由电视信号发射塔发出,其频率比FM信号高很多,以天津地区为例,DTMB信号的两个频段的中心频率为660MHz和740MHz,波长在0.41m到0.45m之间。这一波长的电磁波信号在建筑物转角处都会发生折射。所以当定位目标转过转角时,DTMB信号的传播长度会发生非常明显的变化,此时信号的RSS值也会发生较大变化,有利于对目标进行定位。考虑到建筑物内的复杂情况,引入DTMB信号会在很大程度上提高FM信号定位的精度。In view of the deficiency of Wi-Fi indoor positioning and the national conditions of FM signal transmission in my country, the present invention proposes to simultaneously use digital television terrestrial broadcasting (DTMB) signals and FM signals to form a new joint positioning system to improve the accuracy of indoor positioning. The DTMB signal is sent by the TV signal tower, and its frequency is much higher than that of the FM signal. Taking Tianjin as an example, the center frequencies of the two frequency bands of the DTMB signal are 660MHz and 740MHz, and the wavelength is between 0.41m and 0.45m. Electromagnetic wave signals of this wavelength will be refracted at the corners of buildings. Therefore, when the positioning target turns around the corner, the propagation length of the DTMB signal will change significantly, and the RSS value of the signal will also change greatly at this time, which is conducive to positioning the target. Considering the complex situation in the building, the introduction of DTMB signal will greatly improve the accuracy of FM signal positioning.
发明内容Contents of the invention
鉴于上述各种方法的缺陷,本发明提出一种基于FM与DTMB信号的室内位置指纹定位方法,克服了传统上利用Wi-Fi信号进行定位的局限性与不稳定性,解决了以FM信号作为单个定位信号的精度偏低的问题,实现室内高精度定位。In view of the defects of the above-mentioned various methods, the present invention proposes an indoor position fingerprint positioning method based on FM and DTMB signals, which overcomes the limitations and instability of traditionally using Wi-Fi signals for positioning, and solves the problem of using FM signals as The problem of low accuracy of a single positioning signal can achieve indoor high-precision positioning.
实现本发明的技术方案如下:Realize the technical scheme of the present invention as follows:
该方法通过接收FM与DTMB信号不同频率的强度信息,确定室内环境待定位点的空间位置,具体步骤为:The method determines the spatial position of the point to be located in the indoor environment by receiving the strength information of different frequencies of FM and DTMB signals. The specific steps are:
(1)根据室内环境选取采样点,并选取FM与DTMB信号的不同频率作为参考频率;(1) Select sampling points according to the indoor environment, and select different frequencies of FM and DTMB signals as reference frequencies;
(2)利用天线在各采样点接收FM与DTMB信号,记录参考频率上信号的强度信息,构建FM与DTMB信号的RSSI指纹数据库;(2) Utilize the antenna to receive FM and DTMB signals at each sampling point, record the strength information of the signal on the reference frequency, and construct the RSSI fingerprint database of FM and DTMB signals;
(3)利用天线在待定位点接收FM与DTMB信号,记录参考频率上信号的强度信息,得到待定位点FM与DTMB信号的RSSI指纹信息;(3) Utilize the antenna to receive FM and DTMB signals at the point to be located, record the strength information of the signal on the reference frequency, and obtain the RSSI fingerprint information of the FM and DTMB signals at the point to be located;
(4)通过联合定位算法,将待定位点FM与DTMB信号的RSSI指纹信息与RSSI指纹数据库进行匹配,得到定位结果。(4) Through the joint positioning algorithm, the RSSI fingerprint information of the FM and DTMB signals of the point to be located is matched with the RSSI fingerprint database to obtain the positioning result.
进一步地,本发明所述的FM信号统一由指定的发射站发射,同一区域内可接收的FM信号均来自同一信号发射塔,且FM信号频率范围从87.5MHz到108MHz。Further, the FM signals described in the present invention are uniformly transmitted by designated transmitting stations, and the receivable FM signals in the same area all come from the same signal transmitting tower, and the FM signal frequency ranges from 87.5MHz to 108MHz.
进一步地,本发明所述的步骤(1)中的FM与DTMB信号不同频率是依据信道环境来进行选取的。FM和DTMB信号都包含多个频率,并不是每个频率上的信号强度都适用于特定信道环境的定位,并且若将所有频率的强度信息都放入RSSI指纹数据库,则会加大计算量,也会影响后期对指纹信息的匹配,降低系统的效率。所以本发明依据不同波长的信号对障碍物的穿透损耗与绕射损耗的不同,将FM与DTMB信号的各个频率值换算为波长,换算公式为:λ=c/f,其中c为光速,其值为299792458m/s。选取波长大于障碍物最大尺寸的信号和波长小于障碍物最小尺寸的信号进行最优组合。Further, the different frequencies of FM and DTMB signals in the step (1) of the present invention are selected according to the channel environment. Both FM and DTMB signals contain multiple frequencies, and the signal strength on each frequency is not suitable for positioning in a specific channel environment, and if the strength information of all frequencies is put into the RSSI fingerprint database, the amount of calculation will be increased. It will also affect the matching of fingerprint information in the later stage and reduce the efficiency of the system. So the present invention converts each frequency value of FM and DTMB signal into wavelength according to the difference of penetration loss and diffraction loss of obstacles to obstacles of different wavelengths, and the conversion formula is: λ=c/f, where c is the speed of light, Its value is 299792458m/s. Select the signal whose wavelength is larger than the maximum size of the obstacle and the signal whose wavelength is smaller than the smallest size of the obstacle for optimal combination.
进一步地,本发明所述FM与DTMB信号不同频率的强度信息表示为一向量,在区域内选取N个采样点,每个点上测量接收到的P个参考频率的信号强度,则第r个采样点的信号强度表示为:Further, the strength information of the different frequencies of FM and DTMB signals described in the present invention is represented as a vector, and N sampling points are selected in the area, and the signal strengths of the P reference frequencies that are measured at each point are received, then the rth The signal strength of the sampling point is expressed as:
其中为第i个频率进行Q次测量后的平均值,即/> in The average value of Q measurements for the i-th frequency, i.e. />
进一步地,本发明所述步骤(4)中的联合定位算法,结合了确定性信息与概率性信息这两种相互独立的信息。由近邻参考点,得到定位结果的确定性信息;由信号强度的概率分布,得到定位结果的概率性信息。将两种信息赋予不同权重值,得到最终定位结果。具体的公式为:Further, the joint positioning algorithm in step (4) of the present invention combines two kinds of mutually independent information, deterministic information and probabilistic information. The deterministic information of the positioning result is obtained from the neighbor reference point; the probabilistic information of the positioning result is obtained from the probability distribution of the signal strength. The two kinds of information are assigned different weight values to obtain the final positioning result. The specific formula is:
loc=ω1loc1+ω2loc2 loc=ω 1 loc 1 +ω 2 loc 2
其中,loc1是定位结果的确定性信息,loc2是定位结果的概率性信息,ω1和ω2分别是两种信息的权值。Among them, loc 1 is the deterministic information of the positioning result, loc 2 is the probabilistic information of the positioning result, and ω 1 and ω 2 are the weights of the two kinds of information respectively.
进一步地,本发明所述的确定性信息是利用真实的测量值与位置的先验测量强度进行比较而得到的,其具体实现方式是:评估待定位点到所有采样点的欧氏距离,选择最近的K个距离,这K个距离所对应的点为近邻参考点。同时,考虑到这K个距离与实时测量的信号强度的差别大小,将K个近邻参考点赋予不同的权重值。Further, the deterministic information described in the present invention is obtained by comparing the real measurement value with the prior measurement strength of the position, and its specific implementation method is: evaluate the Euclidean distance from the point to be located to all sampling points, and select The nearest K distances, the points corresponding to these K distances are the neighbor reference points. At the same time, considering the difference between the K distances and the real-time measured signal strength, different weight values are assigned to the K neighboring reference points.
进一步地,本发明所述的概率性信息是基于概率模型来估测的,其具体实现方式是:在测量采样点FM与DTMB信号强度时,多次测量该点的信号强度并对该点的信号强度分布进行估计;在定位时,将待定位点的位置作为一个独立的随机变量,通过分析测量信号强度出现的概率,来估计出测定强度出现概率最大的位置作为定位结果。Further, the probabilistic information described in the present invention is estimated based on a probability model, and its specific implementation method is: when measuring the FM and DTMB signal strength of the sampling point, the signal strength of the point is measured multiple times and the signal strength of the point is measured. The distribution of signal strength is estimated; when positioning, the position of the point to be positioned is regarded as an independent random variable, and the probability of occurrence of the measured signal strength is analyzed to estimate the position with the highest probability of occurrence of the measured strength as the positioning result.
根据贝叶斯公式,当测量信号强度为rss时,定位位置在LOCr的概率P(LOCr|rss)为:According to the Bayesian formula, when the measured signal strength is rss, the probability P(LOC r |rss) of the positioning position at LOC r is:
其中,P(rss)是测量值为rss的概率,P(LOCr)为待定位点出现在LOC的概率,P(rss|LOCr)为LOCr点出现rss强度的概率。Among them, P(rss) is the probability that the measured value is rss, P(LOC r ) is the probability that the point to be located appears in the LOC, and P(rss|LOC r ) is the probability that the rss intensity appears at the LOC r point.
利用高斯分布来拟合各采样点信号强度的分布:Use the Gaussian distribution to fit the distribution of the signal strength of each sampling point:
其中Q为实际测量的样本数,RSSrq服从N(rssr,σ)的正态分布。Among them, Q is the number of samples actually measured, and RSS rq obeys the normal distribution of N(rss r , σ).
本发明提出的室内定位方法与已有的技术相比,有以下优点:Compared with the existing technology, the indoor positioning method proposed by the present invention has the following advantages:
(1)本发明所采用的定位信号FM与DTMB信号,覆盖范围广,信号强度稳定,频率范围不易受干扰,相比于Wi-Fi信号,本发明的方法定位稳定性更强,维护成本更低;相比于单独使用FM信号,本发明的方法定位精度更高。(1) The positioning signals FM and DTMB signals used in the present invention have wide coverage, stable signal strength, and less susceptible to interference in the frequency range. Compared with Wi-Fi signals, the positioning stability of the method of the present invention is stronger and the maintenance cost is lower. Low; compared with using FM signals alone, the positioning accuracy of the method of the present invention is higher.
(2)在构建FM与DTMB信号的RSSI指纹数据库时,通过对信号不同频率的选择,在简化系统工作量的同时,克服人员及物体的运动对系统定位精度的影响,提高定位方法的抗干扰性能。(2) When constructing the RSSI fingerprint database of FM and DTMB signals, through the selection of different frequencies of the signals, while simplifying the workload of the system, it overcomes the impact of the movement of people and objects on the positioning accuracy of the system, and improves the anti-interference of the positioning method performance.
(3)本发明将确定性信息与概率性信息相结合,两种信息机理不同,两者的误差也相互独立,联合利用这两种信息可以有效增加定位信息的多样性,有效抵消部分误差,提高定位方法的稳定性。(3) The present invention combines deterministic information with probabilistic information. The two information mechanisms are different, and the errors of the two are also independent of each other. The joint use of these two types of information can effectively increase the diversity of positioning information and effectively offset part of the error. Improve the stability of positioning method.
(4)本发明所采用的方法适用于任何可同时接收到FM与DTMB信号的环境,克服了现有方法仅局限于室内环境,覆盖范围小的缺点。(4) The method adopted in the present invention is applicable to any environment where FM and DTMB signals can be received simultaneously, and overcomes the disadvantages that the existing method is only limited to indoor environments and has a small coverage area.
附图说明Description of drawings
图1为本发明基于FM与DTMB信号的室内位置指纹定位方法的流程图;Fig. 1 is the flow chart of the present invention's indoor position fingerprint location method based on FM and DTMB signal;
图2为不同波长信号传播路径差异图;Fig. 2 is a difference diagram of signal propagation paths of different wavelengths;
图3为联合定位算法的流程图。Fig. 3 is a flowchart of the joint positioning algorithm.
具体实施方式Detailed ways
结合附图及实施例,对本发明所述的方法作详细阐述。The method of the present invention will be described in detail with reference to the drawings and embodiments.
如图1所示,基于FM与DTMB信号的室内位置指纹定位方法,具体过程为:As shown in Figure 1, the indoor location fingerprint positioning method based on FM and DTMB signals, the specific process is as follows:
(1)根据室内环境选取采样点,并选取FM与DTMB信号的不同频率作为参考频率。(1) Select sampling points according to the indoor environment, and select different frequencies of FM and DTMB signals as reference frequencies.
对于一个确定的室内定位环境,考虑到空间各个点信号强度的特异性和实际定位需求,对该空间进行二维建模,再对该环境等距划分,形成网格形态,其间隔距离依据室内结构和具体定位要求而定。以网格的中心位置作为采样点,建立坐标系,得到采样点的二维位置坐标(x,y),并将采样点的序号与位置一一对应,则第r个采样点表示为:Pr(xr,yr),r=1,2,...,N,N为采样点的总个数。For a certain indoor positioning environment, considering the specificity of the signal strength of each point in the space and the actual positioning requirements, a two-dimensional modeling of the space is carried out, and then the environment is divided equidistantly to form a grid form. Depends on the structure and specific positioning requirements. Take the center position of the grid as the sampling point, establish a coordinate system, obtain the two-dimensional position coordinates (x, y) of the sampling point, and correspond the serial number of the sampling point to the position one by one, then the rth sampling point is expressed as: P r (x r , y r ), r=1, 2, ..., N, N is the total number of sampling points.
FM与DTMB信号参考频率的选取是构建一个合理高效的RSSI指纹数据库的重要前提。FM和DTMB信号都包含多个频率,并不是每个频率上的信号强度都适用于特定的信道环境,并且若将所有频率的强度信息都放入RSSI指纹数据库,则会加大计算量,也会影响后期对指纹信息的匹配,降低系统的效率。所以本发明依据不同波长的信号对障碍物的穿透损耗与绕射损耗的不同,从FM与DTMB信号的各个频率中,选取在接收范围内的差异性较大的频率作为参考频率。The selection of FM and DTMB signal reference frequencies is an important prerequisite for constructing a reasonable and efficient RSSI fingerprint database. Both FM and DTMB signals contain multiple frequencies, and not the signal strength on each frequency is suitable for a specific channel environment, and if the strength information of all frequencies is put into the RSSI fingerprint database, the amount of calculation will be increased, and the It will affect the matching of fingerprint information in the later stage and reduce the efficiency of the system. Therefore, the present invention selects a frequency with a large difference in the receiving range from the frequencies of FM and DTMB signals as the reference frequency according to the differences in the penetration loss and diffraction loss of obstacles with different wavelengths.
将FM与DTMB信号的各个频率值换算为波长,换算公式为:λ=c/f,其中c为光速,其值为299792458m/s。The frequency values of FM and DTMB signals are converted into wavelengths, and the conversion formula is: λ=c/f, where c is the speed of light, and its value is 299792458m/s.
在室内环境下,障碍物的尺寸通常为2到3米。如图2所示,不同波长的信号在遇到障碍物时,其传播路径是不同的。在本发明中,FM信号的频率范围是从87.5MHz到108MHz,则波长范围在2.8m到3.5m之间,这一长度的电磁波在遇到小于3米的障碍物时不会产生折射,信号损耗较小,信号强度变化不够明显,不利于精确定位。而DTMB信号的频率比FM信号要高很多,以天津地区为例,DTMB信号的两个频段的中心频率为660MHz和740MHz,则其波长在0.41m到0.45m之间,该信号在遇到大于2米的障碍物时会发生折射,信号损耗较大,信号强度变化较大。In an indoor environment, the size of obstacles is usually 2 to 3 meters. As shown in Figure 2, when signals of different wavelengths encounter obstacles, their propagation paths are different. In the present invention, the frequency range of the FM signal is from 87.5MHz to 108MHz, then the wavelength range is between 2.8m to 3.5m, and the electromagnetic wave of this length will not produce refraction when encountering an obstacle less than 3 meters, and the signal The loss is small, and the signal strength change is not obvious enough, which is not conducive to accurate positioning. The frequency of DTMB signals is much higher than that of FM signals. Taking Tianjin as an example, the center frequencies of the two frequency bands of DTMB signals are 660MHz and 740MHz, and their wavelengths are between 0.41m and 0.45m. Refraction will occur when there is an obstacle of 2 meters, the signal loss will be greater, and the signal strength will vary greatly.
由于室内的信道环境非常复杂,在选取不同波长的信号时,数量太多或者太少都会对定位结果产生不良的影响。经过多次试验,当选取波长大于障碍物的最大尺寸的信号和波长小于障碍物的最小尺寸的信号的组合时,定位效果最佳。所以本发明在FM和DTMB信号中分别选择一部分参考频率,再将两者相结合。选取的参考频率表示为Fl,i=1,2,...,P,其中P为选取的参考频率的个数。Because the indoor channel environment is very complex, when selecting signals of different wavelengths, too many or too few will have a bad influence on the positioning results. After many experiments, the positioning effect is the best when the combination of the signal with the wavelength larger than the maximum size of the obstacle and the signal with the wavelength smaller than the minimum size of the obstacle is selected. Therefore, the present invention selects a part of reference frequencies in FM and DTMB signals respectively, and then combines the two. The selected reference frequencies are expressed as F l , i=1, 2, . . . , P, where P is the number of selected reference frequencies.
(2)利用天线在各个采样点接收FM与DTMB信号,记录参考频率上信号的强度信息,构建FM与DTMB信号的RSSI指纹数据库。(2) Use the antenna to receive FM and DTMB signals at each sampling point, record the signal strength information on the reference frequency, and construct the RSSI fingerprint database of FM and DTMB signals.
在采样点接收FM与DTMB信号时,由于DTMB信号与FM信号频率相差较大,因此选择接收频率范围包含这两种信号的天线来进行接收,并在各个采样点进行多次测量,取其均值,并计算其标准差。When receiving FM and DTMB signals at the sampling point, due to the large frequency difference between the DTMB signal and the FM signal, an antenna whose receiving frequency range includes these two signals is selected for reception, and multiple measurements are made at each sampling point, and the average value is taken , and calculate its standard deviation.
将测得的FM与DTMB信号不同频率的强度信息表示为一向量,该向量的每一项代表一个频率的信号强度均值。在区域内选取N个采样点,每个点上测量接收到的P个参考频率的信号强度,则第r个点的信号强度表示为:The measured strength information of different frequencies of FM and DTMB signals is expressed as a vector, and each item of the vector represents the mean value of the signal strength of a frequency. Select N sampling points in the area, and measure the signal strength of P reference frequencies received at each point, then the signal strength of the rth point is expressed as:
其中为第i个频率进行Q次测量后的平均值,即/> in The average value of Q measurements for the i-th frequency, i.e. />
由步骤(1)所得的采样点位置Pr(xr,yr)与该步骤所得的信号强度RSSr及其标准差σr共同构建指纹数据库。The fingerprint database is jointly constructed from the sampling point position P r (x r , y r ) obtained in step (1) and the signal strength RSS r and its standard deviation σ r obtained in this step.
(3)利用天线在待定位点接收FM与DTMB信号,记录参考频率上信号的强度信息,得到待定位点FM与DTMB信号的RSSI指纹信息。(3) Use the antenna to receive FM and DTMB signals at the point to be located, record the signal strength information on the reference frequency, and obtain the RSSI fingerprint information of the FM and DTMB signals at the point to be located.
在实际的定位环境中,在待定位点,利用接收频率范围包含FM与DTMB信号的天线接收FM与DTMB信号,记录参考频率上信号的强度信息,在每一个频率上多次测量,取其均值。待测点的RSSI指纹信息表示为:In the actual positioning environment, at the point to be located, use the antenna that receives FM and DTMB signals in the receiving frequency range to receive FM and DTMB signals, record the signal strength information on the reference frequency, measure multiple times on each frequency, and take the average value . The RSSI fingerprint information of the point to be measured is expressed as:
其中为待测点第i个频率进行多次测量后的平均值。in It is the average value of multiple measurements for the i-th frequency of the point to be measured.
(4)通过联合定位算法,将待定位点FM与DTMB信号的RSSI指纹信息与RSSI指纹数据库进行匹配,得到定位结果。(4) Through the joint positioning algorithm, the RSSI fingerprint information of the FM and DTMB signals of the point to be located is matched with the RSSI fingerprint database to obtain the positioning result.
联合定位算法将确定性信息与概率性信息相结合,该算法的过程如图3所示。The joint positioning algorithm combines deterministic information with probabilistic information, and the process of the algorithm is shown in Figure 3.
确定性信息是利用真实的测量值与位置的先验测量强度进行比较而得到的,其具体实现方式是:评估待定位点到所有采样点的欧氏距离,选择最近的K个距离,这K个距离所对应的点为近邻参考点。同时,考虑到这K个距离与实时测量的信号强度的差别大小,将K个近邻参考点赋予不同的权重值。具体的实现公式为:Deterministic information is obtained by comparing the real measured value with the prior measurement strength of the position. The specific implementation method is: evaluate the Euclidean distance from the point to be located to all the sampling points, and select the nearest K distances. The point corresponding to the distance is the neighbor reference point. At the same time, considering the difference between the K distances and the real-time measured signal strength, different weight values are assigned to the K neighboring reference points. The specific implementation formula is:
其中rss为信号强度的测量值,为信号强度的先验估计值,LOCk是近邻参考点的实际位置,K是选择的最近邻的参考点的个数,Dk是待定位点与近邻参考点间的欧氏距离。where rss is a measure of signal strength, is the prior estimate of the signal strength, LOC k is the actual location of the neighbor reference point, K is the number of the nearest neighbor reference point selected, and D k is the Euclidean distance between the point to be located and the neighbor reference point.
室内环境下信号强度会受到瑞利衰落的影响,而确定性信息难以抵抗瑞利衰落带来的影响,只利用该信息进行定位,效果不够理想,所以本发明引入了概率性信息。In the indoor environment, the signal strength will be affected by Rayleigh fading, but the deterministic information is difficult to resist the influence of Rayleigh fading. Only using this information for positioning is not ideal enough, so the present invention introduces probabilistic information.
概率性信息是基于概率模型来估测的,其具体实现方式是:在测量采样点FM与DTMB信号强度时,多次测量该点的信号强度并对该点的信号强度分布进行估计;在定位时,将待定位点的位置作为一个独立的随机变量,通过分析测量信号强度出现的概率,来估计出测定强度出现概率最大的位置作为定位结果。Probabilistic information is estimated based on a probability model. The specific implementation method is: when measuring the FM and DTMB signal strength of the sampling point, measure the signal strength of the point multiple times and estimate the signal strength distribution of the point; When , the position of the point to be located is taken as an independent random variable, and the position with the highest probability of occurrence of the measured signal strength is estimated as the positioning result by analyzing the probability of occurrence of the measured signal strength.
根据贝叶斯公式,当测量信号强度为rss时,定位位置在LOCr的概率P(LOCr|rss),可以计算如下:According to the Bayesian formula, when the measured signal strength is rss, the probability P(LOC r |rss) of the positioning position at LOC r can be calculated as follows:
其中,P(rss)是测量值为rss的概率,P(LOCr)为待定位点出现在LOC的概率,P(rss|LOCr)为LOCr点出现rss强度的概率。考虑到各个频率上的信号都是相互独立的,则可用k个频率对应的似然概率函数的乘积表示采样点上的似然概率:Among them, P(rss) is the probability that the measured value is rss, P(LOC r ) is the probability that the point to be located appears in the LOC, and P(rss|LOC r ) is the probability that the rss intensity appears at the LOC r point. Considering that the signals at each frequency are independent of each other, the likelihood probability at the sampling point can be expressed by the product of the likelihood probability functions corresponding to k frequencies:
利用高斯分布来拟合各频率点信号强度的分布,即将P(rssl|LOCr)表示为:Gaussian distribution is used to fit the distribution of signal strength at each frequency point, that is, P(rss l |LOC r ) is expressed as:
其中Q为实际测量的样本数,LOCr位置的测量RSSrq服从N(rssr,σ)的正态分布。Where Q is the actual number of samples measured, and the measured RSS rq of the location of LOC r obeys the normal distribution of N(rss r , σ).
通过高斯回归可以估计采样点受到瑞利衰落影响后的分布情况,则利用概率性信息进行定位能克服瑞利衰落带来的不良影响,但没能充分利用定位点与邻近点间的信息,所以抗干扰能力差。Gaussian regression can be used to estimate the distribution of sampling points affected by Rayleigh fading, and the use of probabilistic information for positioning can overcome the adverse effects of Rayleigh fading, but it cannot make full use of the information between positioning points and neighboring points, so Poor anti-interference ability.
本发明采用联合定位算法,融合了确定性信息与概率性信息。这两种信息的产生机理不同,引入的误差也相互独立,所以融合这两种信息可以有效增加定位信息的多样性,有效抵消部分误差,提高定位的稳定性。融合公式为:The present invention adopts a joint positioning algorithm and combines deterministic information and probabilistic information. These two types of information have different generation mechanisms, and the errors introduced are also independent of each other. Therefore, the fusion of these two types of information can effectively increase the diversity of positioning information, effectively offset part of the error, and improve the stability of positioning. The fusion formula is:
loc=ω1loc1+ω2loc2 (8)loc=ω 1 loc 1 +ω 2 loc 2 (8)
其中,loc1是定位结果的确定性信息,loc2是定位结果的概率性信息,ω1和ω2分别是两种信息的权值。Among them, loc 1 is the deterministic information of the positioning result, loc 2 is the probabilistic information of the positioning result, and ω 1 and ω 2 are the weights of the two kinds of information respectively.
将步骤(3)得到的RSSI指纹信息与步骤(2)建立的RSSI指纹数据库进行匹配,分别得到定位结果的确定性信息与概率性信息,再利用融合公式,计算出最终定位结果。The RSSI fingerprint information obtained in step (3) is matched with the RSSI fingerprint database established in step (2), and the deterministic information and probabilistic information of the positioning result are respectively obtained, and then the final positioning result is calculated by using the fusion formula.
以上只是对本发明作进一步的说明,并非用以限制本专利的实施应用,凡为本发明等效实施,均应包含于本专利的权利要求范围之内。The above is only a further description of the present invention, and is not intended to limit the implementation and application of this patent. All equivalent implementations of the present invention should be included in the scope of claims of this patent.
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